2 years ago

What is the value of x and the length of segment DE?

Mathematics

1 answer:

natali 33 [55]2 years ago

7 0

Answer:

x= 6.6 Length of DE= 16.2

Step-by-step explanation:

I got it right on edge

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Step-by-step explanation:

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We can use the distance formula. Recall that:

$\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Substitute and evaluate:

$\displaystyle \begin{aligned} d &= \sqrt{((-10)-(-8))^2 + ((-7) - (1))^2} \\ \\ &=\sqrt{(-2)^2+(-8)^2} \\ \\ &= \sqrt{(4) + (64)} \\ \\ &= \sqrt{68}\\ \\ &= 2\sqrt{17}\end{aligned}$

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